Choose the correct net for each solid shape in this math worksheet.
Worksheet with seven solid shapes and three net options each, asking to choose the correct net for each solid shape.
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Step-by-step solution for: Use Nets to Build Solid Shapes - Pankaj Blogs
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Show Answer Key & Explanations
Step-by-step solution for: Use Nets to Build Solid Shapes - Pankaj Blogs
To solve the problem, we need to match each solid shape with its corresponding net. A net is a 2D pattern that can be folded to form a 3D solid. Let's analyze each question step by step.
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- The cone has a circular base and a single curved surface that tapers to a point.
- Net: The net of a cone consists of a circle (base) and a sector of a circle (curved surface).
Correct Answer:
- Option b: It shows a circle at the bottom and a sector-like shape above it.
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- The tetrahedron is a pyramid with a triangular base and three triangular faces.
- Net: The net of a tetrahedron consists of four triangles arranged in a way that they can fold into a pyramid.
Correct Answer:
- Option c: It shows four triangles connected in a way that forms a tetrahedron when folded.
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- The square pyramid has a square base and four triangular faces that meet at a single vertex.
- Net: The net of a square pyramid consists of a square and four triangles attached to its sides.
Correct Answer:
- Option a: It shows a square base with four triangles attached to its sides.
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- The cylinder has two circular bases and a curved surface connecting them.
- Net: The net of a cylinder consists of two circles (bases) and a rectangle (curved surface).
Correct Answer:
- Option c: It shows two circles at the ends and a rectangle in between.
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- This is the same as Question 2. The tetrahedron has four triangular faces.
- Net: The net consists of four triangles arranged in a way that they can fold into a pyramid.
Correct Answer:
- Option a: It shows four triangles connected in a way that forms a tetrahedron when folded.
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- The cube has six square faces.
- Net: The net of a cube consists of six squares arranged in a way that they can fold into a cube. There are multiple valid nets for a cube, but the one shown here is correct.
Correct Answer:
- Option b: It shows six squares arranged in a cross-like pattern, which is a valid net for a cube.
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- The rectangular prism has six rectangular faces.
- Net: The net of a rectangular prism consists of six rectangles arranged in a way that they can fold into a cuboid.
Correct Answer:
- Option b: It shows six rectangles arranged in a way that forms a rectangular prism when folded.
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1. b
2. c
3. a
4. c
5. a
6. b
7. b
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- Question 1: Cone → b
- Question 2: Triangular Pyramid → c
- Question 3: Square Pyramid → a
- Question 4: Cylinder → c
- Question 5: Triangular Pyramid → a
- Question 6: Cube → b
- Question 7: Rectangular Prism → b
Thus, the final answer is:
\boxed{b, c, a, c, a, b, b}
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1. Solid Shape: Cone
- The cone has a circular base and a single curved surface that tapers to a point.
- Net: The net of a cone consists of a circle (base) and a sector of a circle (curved surface).
Correct Answer:
- Option b: It shows a circle at the bottom and a sector-like shape above it.
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2. Solid Shape: Triangular Pyramid (Tetrahedron)
- The tetrahedron is a pyramid with a triangular base and three triangular faces.
- Net: The net of a tetrahedron consists of four triangles arranged in a way that they can fold into a pyramid.
Correct Answer:
- Option c: It shows four triangles connected in a way that forms a tetrahedron when folded.
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3. Solid Shape: Square Pyramid
- The square pyramid has a square base and four triangular faces that meet at a single vertex.
- Net: The net of a square pyramid consists of a square and four triangles attached to its sides.
Correct Answer:
- Option a: It shows a square base with four triangles attached to its sides.
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4. Solid Shape: Cylinder
- The cylinder has two circular bases and a curved surface connecting them.
- Net: The net of a cylinder consists of two circles (bases) and a rectangle (curved surface).
Correct Answer:
- Option c: It shows two circles at the ends and a rectangle in between.
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5. Solid Shape: Triangular Pyramid (Tetrahedron)
- This is the same as Question 2. The tetrahedron has four triangular faces.
- Net: The net consists of four triangles arranged in a way that they can fold into a pyramid.
Correct Answer:
- Option a: It shows four triangles connected in a way that forms a tetrahedron when folded.
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6. Solid Shape: Cube
- The cube has six square faces.
- Net: The net of a cube consists of six squares arranged in a way that they can fold into a cube. There are multiple valid nets for a cube, but the one shown here is correct.
Correct Answer:
- Option b: It shows six squares arranged in a cross-like pattern, which is a valid net for a cube.
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7. Solid Shape: Rectangular Prism (Cuboid)
- The rectangular prism has six rectangular faces.
- Net: The net of a rectangular prism consists of six rectangles arranged in a way that they can fold into a cuboid.
Correct Answer:
- Option b: It shows six rectangles arranged in a way that forms a rectangular prism when folded.
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Final Answers:
1. b
2. c
3. a
4. c
5. a
6. b
7. b
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Summary:
- Question 1: Cone → b
- Question 2: Triangular Pyramid → c
- Question 3: Square Pyramid → a
- Question 4: Cylinder → c
- Question 5: Triangular Pyramid → a
- Question 6: Cube → b
- Question 7: Rectangular Prism → b
Thus, the final answer is:
\boxed{b, c, a, c, a, b, b}
Parent Tip: Review the logic above to help your child master the concept of geometry nets worksheet.